Science Homework Help

JB Fourier, an 19^th century mathematician, determined that all complex periodic waves are composed of – and can be broken down into – a set of sine waves of different frequencies, amplitudes, and phase relationships.

Describe what would result in the following two examples. Describe the resulting waveforms and spectra for each example:

1. What wave results by adding the following three sine waves that are in phase:

1. 120 Hz, peak amplitude 5 milliVolts (mV)
2. 120 Hz, peak amplitude 8 milliVolts (mV)
3. 120 Hz, peak amplitude 2 milliVolts (mV)

2. Adding together the following three sine waves:

1. 120 Hz
2. 240 Hz
3. 360 Hz